{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Vectorial Huygens PSF - 3D\n", "\n", "This example demonstrates how to use the `VectorialHuygensPSF` through the `HuygensPSF` factory to calculate the 3D PSF (through-focus) of an optical system.\n", "\n", "**Note:** Vectorial PSF calculations are automatically performed when polarization is enabled in the optical system. This accounts for the full vectorial nature of the electric field at the exit pupil." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "execution": { "iopub.execute_input": "2026-03-24T11:46:07.377488Z", "iopub.status.busy": "2026-03-24T11:46:07.377173Z", "iopub.status.idle": "2026-03-24T11:46:10.993259Z", "shell.execute_reply": "2026-03-24T11:46:10.992717Z" } }, "outputs": [], "source": [ "from optiland.psf import HuygensPSF\n", "from optiland.samples.objectives import TessarLens\n", "from optiland.rays import create_polarization" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "execution": { "iopub.execute_input": "2026-03-24T11:46:10.995287Z", "iopub.status.busy": "2026-03-24T11:46:10.995011Z", "iopub.status.idle": "2026-03-24T11:46:11.160856Z", "shell.execute_reply": "2026-03-24T11:46:11.160228Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lens = TessarLens()\n", "pol_state_H = create_polarization(\"H\")\n", "lens.updater.set_polarization(pol_state_H) # Enable polarization to trigger vectorial PSF\n", "_ = lens.draw()" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "execution": { "iopub.execute_input": "2026-03-24T11:46:11.184895Z", "iopub.status.busy": "2026-03-24T11:46:11.184663Z", "iopub.status.idle": "2026-03-24T11:46:16.118972Z", "shell.execute_reply": "2026-03-24T11:46:16.118475Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "psf = HuygensPSF(lens, field=(0, 1), wavelength=0.55)\n", "_ = psf.view()" ] } ], "metadata": { "kernelspec": { "display_name": ".venv", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.13.2" } }, "nbformat": 4, "nbformat_minor": 4 }